q -Integral inequalities associated with some fractional q -integral operators

Journal of inequalities and applications

Praveen Agarwal¹ 

关键词: integral inequalities;    Chebyshev functional;    Riemann-Liouville fractional integral operator;    Pólya-Szegö type inequalities;    hypergeometric fractional integral operator;    26D10;    26A33;    26D15;   

DOI  :  10.1186/s13660-015-0860-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In recent years fractional q-integral inequalities have been investigated by many authors. Therefore, the fractional q-integral inequalities have become one of the most powerful and far-reaching tools for the development of many branches of pure and applied mathematics. Here, we aim to establish some new fractional q-integral inequality by using fractional q-integral operators. Relevant connections of the results presented here with earlier ones are also pointed out.

【 授权许可】

CC BY